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• The purpose of using invert and transpose

  - by user699215

  In openGl ES and the World of 3D - why use the invers matrix? The thing is that I dont have any intuition to, why it is used, therefore please correct me: As fare as I understand, it is used in shaders - and can help you to figure out the opposite direction of the normals? Invers in ordinary numbers is like; The product of a number and its multiplicative inverse is 1. Observe that 3/5 * 5/3 = 1. In a matrix this will give you the Identity Matrix, which is the base coordinate system or the orion of the World space - right. But the invers is - some other coordinate system? You can use the transpose(Row-major order to Column-major order) of a square matrix to find the inverted matrix, as calculating the invers is process heavy - and the transpose is giving you the inverted matrix as a bi product? Again, I am looking for getting some intuition of this - and therefore be able to use it as intended. Thank you for any reply that will guide me in the right direction. Regards

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• Realtime rendering using a ray tracing engine

  - by Keyhan Asghari

  I want to render an object that has a mesh with one million hexagonal elements(100 * 100 * 100). Lights, shadows and textures is not important and each element has a solid color. and finally, the actions I want to have, is simply rotating the object, zooming and panning. I am wondering what ray tracing engine is better for my conditions. or, do I have to take another approach? any help will be appreciated.

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• Class Design - Space Simulator

  - by Peteyslatts

  I have pretty much taught myself everything I know about programming, so while I know how to teach myself (books, internet and reading API's), I'm finding that there hasn't been a whole lot in the way of good programming. So I have two questions: First the broad one: Does anyone have suggestions as to sources for learning about good programming habits and techniques? I'd prefer it if the resource wasn't a 5000 page tome. The more I can read it in installments the better. More specifically: I am finishing up learning the basics of XNA and I want to create a space simulator to test my knowledge. This isn't a full scale simulator, but just something that covers everything I learned. It's also going to be modular so I can build on it, after I get the basics down. One of the early features I want to implement is AI. And I want to take this into account as I'm designing my classes so I can minimize rewriting code. So my question: How should I design ship classes so that both the player and AI can use them? The only idea I have so far is: Create a ship class that contains stats, models, textures, collision data etc. The player and AI would then have the data for position, rotation, health, etc and would base their status off of the ship stats.

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• How do I manipulate the Url of my Silverlight testpage.aspx?

  - by Daniel

  I am making an XNA game using Silverlight over the web. My testpage.aspx is linked to from a previous page where the client selects certain elements. The testpage.aspx URL changes depending on what I have sent to it. Now in my mainpage.cs file I would like to call certain functions depending on what was passed, but I am unsure how to manipulate or even access the URL. Is there a specific class in the Silverlight library I can use? Thank you for your time.

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• Square game map rendered as sphere

  - by Roflha

  For a hobby project of mine I have created a finite voxel world (similar to Minecraft), but as I said, mine is finite. When you reach the edge of it, you are sent to the other side. That is all working fine along with rendering the far side of the map, but I want to be able to render this grid as a sphere. Looking down from above, the world is a square. I basically want to be able to represent a portion of that square as a sphere, as if you were looking at a planet. Right now I am experimenting with taking a circular section of the map, and rendering that, but it look to flat (no curvature around the edges). My question then, is what would be the best way to add some curvature to the edges of a 2d circle to make it look like a hemisphere. However, I am not overly attached to this implementation so if somebody has some other idea for representing the square as a planet, I am all ears.

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• Best peer-to-peer game architecture

  - by Dejw

  Consider a setup where game clients: have quite small computing resources (mobile devices, smartphones) are all connected to a common router (LAN, hotspot etc) The users want to play a multiplayer game, without an external server. One solution is to host an authoritative server on one phone, which in this case would be also a client. Considering point 1 this solution is not acceptable, since the phone's computing resources are not sufficient. So, I want to design a peer-to-peer architecture that will distribute the game's simulation load among the clients. Because of point 2 the system needn't be complex with regards to optimization; the latency will be very low. Each client can be an authoritative source of data about himself and his immediate environment (for example bullets.) What would be the best approach to designing such an architecture? Are there any known examples of such a LAN-level peer-to-peer protocol? Notes: Some of the problems are addressed here, but the concepts listed there are too high-level for me. Security I know that not having one authoritative server is a security issue, but it is not relevant in this case as I'm willing to trust the clients. Edit: I forgot to mention: it will be a rather fast-paced game (a shooter). Also, I have already read about networking architectures at Gaffer on Games.

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• What is wrong with my game loop/mechanic?

  - by elias94xx

  I'm currently working on a 2d sidescrolling game prototype in HTML5 canvas. My implementations so far include a sprite, vector, loop and ticker class/object. Which can be viewed here: http://elias-schuett.de/apps/_experiments/2d_ssg/js/ So my game essentially works well on todays lowspec PC's and laptops. But it does not on an older win xp machine I own and on my Android 2.3 device. I tend to get ~10 FPS with these devices which results in a too high delta value, which than automaticly gets fixed to 1.0 which results in a slow loop. Now I know for a fact that there is a way to implement a super smooth 60 or 30 FPS loop on both devices. Best example would be: http://playbiolab.com/ I don't need all the chunk and debugging technology impact.js offers. I could even write a super simple game where you just control a damn square and it still wouldn't run on a equally fast 30 or 60 fps. Here is the Loop class/object I'm using. It requires a requestAnimationFrame unify function. Both devices I've tested my game on support requestAnimationFrame, so there is no interval fallback. var Loop = function(callback) { this.fps = null; this.delta = 1; this.lastTime = +new Date; this.callback = callback; this.request = null; }; Loop.prototype.start = function() { var _this = this; this.request = requestAnimationFrame(function(now) { _this.start(); _this.delta = (now - _this.lastTime); _this.fps = 1000/_this.delta; _this.delta = _this.delta / (1000/60) > 2 ? 1 : _this.delta / (1000/60); _this.lastTime = now; _this.callback(); }); }; Loop.prototype.stop = function() { cancelAnimationFrame(this.request); };

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• Pattern for performing game actions

  - by Arkiliknam

  Is there a generally accepted pattern for performing various actions within a game? A way a player can perform actions and also that an AI might perform actions, such as move, attack, self-destruct, etc. I currently have an abstract BaseAction which uses .NET generics to specify the different objects that get returned by the various actions. This is all implemented in a pattern similar to the Command, where each action is responsible for itself and does all that it needs. My reasoning for being abstract is so that I may have a single ActionHandler, and AI can just queue up different action implementing the baseAction. And the reason it is generic is so that the different actions can return result information relevant to the action (as different actions can have totally different outcomes in the game), along with some common beforeAction and afterAction implementations. So... is there a more accepted way of doing this, or does this sound alright?

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• Event Driven Behavior Tree: deterministic traversal order with parallel

  - by Heisenbug

  I've studied several articles and listen some talks about behavior trees (mostly the resources available on AIGameDev by Alex J. Champandard). I'm particularly interested on event driven behavior trees, but I have still some doubts on how to implement them correctly using a scheduler. Just a quick recap: Standard Behavior Tree Each execution tick the tree is traversed from the root in depth-first order The execution order is implicitly expressed by the tree structure. So in the case of behaviors parented to a parallel node, even if both children are executed during the same traversing, the first leaf is always evaluated first. Event Driven BT During the first traversal the nodes (tasks) are enqueued using a scheduler which is responsible for updating only running ones every update The first traversal implicitly produce a depth-first ordered queue in the scheduler Non leaf nodes stays suspended mostly of the time. When a leaf node terminate(either with success or fail status) the parent (observer) is waked up allowing the tree traversing to continue and new tasks will be enqueued in the scheduler Without parallel nodes in the tree there will be up to 1 task running in the scheduler Without parallel nodes, the tasks in the queue(excluding dynamic priority implementation) will be always ordered in a depth-first order (is this right?) Now, from what is my understanding of a possible implementation, there are 2 requirements I think must be respected(I'm not sure though): Now, some requirements I think needs to be guaranteed by a correct implementation are: The result of the traversing should be independent from which implementation strategy is used. The traversing result must be deterministic. I'm struggling trying to guarantee both in the case of parallel nodes. Here's an example: Parallel_1 -->Sequence_1 ---->leaf_A ---->leaf_B -->leaf_C Considering a FIFO policy of the scheduler, before leaf_A node terminates the tasks in the scheduler are: P1(suspended),S1(suspended),leaf_A(running),leaf_C(running) When leaf_A terminate leaf_B will be scheduled (at the end of the queue), so the queue will become: P1(suspended),S1(suspended),leaf_C(running),leaf_B(running) In this case leaf_B will be executed after leaf_C at every update, meanwhile with a non event-driven traversing from the root node, the leaf_B will always be evaluated before leaf_A. So I have a couple of question: do I have understand correctly how event driven BT work? How can I guarantee the depth first order is respected with such an implementation? is this a common issue or am I missing something?

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• Blending transition in cocos2d

  - by fiddler

  In my cocos2d-iphone game, I have 2 backgrounds (CCnodes), each containing a quite complex hierarchy of sprites. I would like to make a smooth transition between them: initially, only the first background is visible at the end, only the second one is visible Is there a good way to set the opacity of a full hierarchy of sprites ? I tried to recursively set the opacity of all the contained sprites. It kinda works except that: i guess it's not very efficient i would like the opacity of overlapping sprites to be 'merged' (as if the background was one single big sprite)

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• In concept how is Animation done?

  - by sharethis

  The first approaches in animation for my game relied mostly on sine and cosine functions with the time as parameter. As a jump a perfect sine function is acceptable but for motions of arms, weapons or face it would look quite unnatural. Moreover patching every animation out of sine and cosine is stretched to its limits soon. I head of skeletons and rigging already. Although I could not implement skeletal animations I can't imagine that quite natural animations in major games are made of static predefined motion states. So how in general is animation done today?

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• Logic / Render phases with a single thread

  - by DevilWithin

  The question I have may generate different opinions from different developers, but I'd still like to have an answer on this. Its all about the updating and rendering steps of the game loop, and their use under multi and single threaded environments. Currently, there is one thread running, which takes care of sequentially executing events , logic and rendering. Sometimes, the logic part may wish to change the game state to something else, and in between do some loading of files. The result is that the game hangs completely while loading, and then proceeds to normal rendering of the new state. To go around this, i could make another thread, do the loading there while the main thread renders a smooth loading animation, and then proceed normally. The real question is about if i don't create another thread. I could refresh the screen from the logic thread, and provide some basic loading screen, which could be not so smoothly updated while the files load. In fact, this approach is not loved by a lot of developers, as it scrambles render code in the logic step, which may cause problems of different sorts.. Hope its clear!

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• Which purpose do armor points serve?

  - by Bane

  I have seen a mechanic which I call "armor points" in many games: Quake, Counter Strike, etc. Generally, while the player has these armor points, he takes less damage. However, they act in a similar fashion that health points do: you lose them by taking said damage. Why would you design such a feature? Is this just health 2.0, or am I missing something? To me, armor only makes sense in, for example, RPG games, where it is a constant that determines your resistance. But I don't see why would it need to be reduceable during combat.

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• How to make Pokémon White 3D effect?

  - by Pipo

  I just wondered how to create a 3D effect similar to Pokemon White/Black? It seems to be not polygon based, but created just with sprites. If the perspective changes the sprites stay sharp and don't get blurred. How can I archive this? Source: https://www.youtube.com/watch?v=fZEPUPYOnRc&feature=youtube_gdata_player Edit: Wow, two downvotes because I used a video instead of screenshots? Don't get me wrong, I thank you, because you want to help me, but the 3D effect can be better understand in motion. Anyway, here is a screenshot: http://wearearcade.com/wp-content/uploads/2011/03/pokemon-black-white-starter-town.jpg So, if this is a hardware limitation, how can I archive this o na different hardware, e.g. a HTML5 game? Thank you.

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• How to make it so units don't stack up in one location?

  - by Daggio

  So I'm making a game in AS3, it's a strategy DotA-like game (for flash game equivalent, there's UDE) so far so good, I have the A* pathfinding algorithm all sorted out and the minion units move to the desired location as I want them to be. The problem a rise when a unit stops in a node that has already occupied by another friendly unit. Both (or more than two) of them stacks up in one location, it looks like they're one unit. I want to add collision detection so when they collide they don't stack up together. But now they stop when they collide on they way to a node. This isn't good because they won't move at all midway (they won't respond to enemy attacks like that). I've added a deltatime so they only stopped for 2 seconds before they move again to their designated designation. This moves them again but they flicker. Not how I want it. So, like the title said. How to make more than one units don't stack up in a node? And if possible, how to make them not flicker while moving (it's good if they can tell other friendly units on the way and avoid them accordingly)?

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• Selling your iphone games.

  - by Artemix

  Hi. So, long story short, some days ago I pusblished an iPhone game, I think the game wasnt that bad tbh, and still I got only 10 sells at $0.99. Are they any publishers, sponsors, or distributors to make your game "visible" on the app store market?, or the only thing you need is to have an amazing game and thats all? Somehow I think that even if you have an awesome game if you dont do that "marketing magic" correctly you will not exist in the store. Now Im making a second game, completly different, and I want to know how to do things right. If anyone knows something about this topic, let me know. Thx in advance.

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• How should I load level data in java?

  - by Matthew G.

  I'm setting up my engine for a certain action/arcade game to have a set of commands that would look something like this. Set landscape to grass Create rocks at ... Create player at X, Y Set goal to "Get to point X Y" Spawn enemy at X, Y I'd then have each object knowing what it has to do, and acting on its own. I've been thinking about how to store this data. External data files could be parsed by a level class, and certain objects can be spawned through that. I could also create a base level class and extend it for each level, but that'd create a large amount of classes. Another idea is to have one level parser class, but have a case for each level. This would be extremely silly and bulky, but I mention it because I found that I did this at 2 AM last night. I'm finally getting why I have to plan out my inheritances, though. RIP project. I might be completely missing another option.

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• Finding furthermost point in game world

  - by user13414

  I am attempting to find the furthermost point in my game world given the player's current location and a normalized direction vector in screen space. My current algorithm is: convert player world location to screen space multiply the direction vector by a large number (2000) and add it to the player's screen location to get the distant screen location convert the distant screen location to world space create a line running from the player's world location to the distant world location loop over the bounding "walls" (of which there are always 4) of my game world check whether the wall and the line intersect if so, where they intersect is the furthermost point of my game world in the direction of the vector Here it is, more or less, in code: public Vector2 GetFurthermostWorldPoint(Vector2 directionVector) { var screenLocation = entity.WorldPointToScreen(entity.Location); var distantScreenLocation = screenLocation + (directionVector * 2000); var distantWorldLocation = entity.ScreenPointToWorld(distantScreenLocation); var line = new Line(entity.Center, distantWorldLocation); float intersectionDistance; Vector2 intersectionPoint; foreach (var boundingWall in entity.Level.BoundingWalls) { if (boundingWall.Intersects(line, out intersectionDistance, out intersectionPoint)) { return intersectionPoint; } } Debug.Assert(false, "No intersection found!"); return Vector2.Zero; } Now this works, for some definition of "works". I've found that the further out my distant screen location is, the less chance it has of working. When digging into the reasons why, I noticed that calls to Viewport.Unproject could result in wildly varying return values for points that are "far away". I wrote this stupid little "test" to try and understand what was going on: [Fact] public void wtf() { var screenPositions = new Vector2[] { new Vector2(400, 240), new Vector2(400, -2000), }; var viewport = new Viewport(0, 0, 800, 480); var projectionMatrix = Matrix.CreatePerspectiveFieldOfView(MathHelper.PiOver4, viewport.Width / viewport.Height, 1, 200000); var viewMatrix = Matrix.CreateLookAt(new Vector3(400, 630, 600), new Vector3(400, 345, 0), new Vector3(0, 0, 1)); var worldMatrix = Matrix.Identity; foreach (var screenPosition in screenPositions) { var nearPoint = viewport.Unproject(new Vector3(screenPosition, 0), projectionMatrix, viewMatrix, worldMatrix); var farPoint = viewport.Unproject(new Vector3(screenPosition, 1), projectionMatrix, viewMatrix, worldMatrix); Console.WriteLine("For screen position {0}:", screenPosition); Console.WriteLine(" Projected Near Point = {0}", nearPoint.TruncateZ()); Console.WriteLine(" Projected Far Point = {0}", farPoint.TruncateZ()); Console.WriteLine(); } } The output I get on the console is: For screen position {X:400 Y:240}: Projected Near Point = {X:400 Y:629.571 Z:599.0967} Projected Far Point = {X:392.9302 Y:-83074.98 Z:-175627.9} For screen position {X:400 Y:-2000}: Projected Near Point = {X:400 Y:626.079 Z:600.7554} Projected Far Point = {X:390.2068 Y:-767438.6 Z:148564.2} My question is really twofold: what am I doing wrong with the unprojection such that it varies so wildly and, thus, does not allow me to determine the corresponding world point for my distant screen point? is there a better way altogether to determine the furthermost point in world space given a current world space location, and a directional vector in screen space?

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• LWJGL Java 2D collision when lagging

  - by user1990950

  I'm using a tile based collision, but when the game is lagging (the lag isn't the problem) the collision fails and the player falls through tiles. This is the movement/collision detection code of my Player class: gravity.y = gspeed; speed.y+=gravity.y; position.set(position.x + direction.x * speed.x * deltaSeconds, position.y + direction.y * speed.y * deltaSeconds); for (int i = (int) Math.round(position.x / 32) - 2 * t; i < (int) Math.round(position.x / 32) + 3 * t; i++) { for (int j = (int) Math.round(position.y / 32); j < (int) Math.round((position.y + height + 64) / 32); j++) { checkCollision(i, j, deltaSeconds); } } public void checkCollision(int i, int j, float deltaSeconds) { bbox.setBounds((int) position.x, (int) position.y, (int) width, (int) height); Tile t = null; t = Map.getTile(i, j); if (t != null) { if (t.isSolid()) { if (t.getTop().intersects(bbox)) { if (position.y + height < t.y * 32 + 32) { if (speed.y >= 0) { position.y = t.y * 32 - height; speed.y = 0; gravity.y = 0; jumpState = 0; } } } if (t.getBottom().intersects(bbox)) { if (position.y < t.y * 32 + 32) { position.y = t.y * 32 + 32; speed.y = 0; } } else { if (t.getLeft().intersects(bbox)) { if (position.x + width > t.x * 32) { position.x = t.x * 32 - width; speed.x = 0; } } if (t.getRight().intersects(bbox)) { if (position.x < t.x * 32 + 32) { position.x = t.x * 32 + 32; speed.x = 0; } } } } } } Is it possible to fix my code, if yes how? Or is it possible to tell if the game is lagging?

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• Rotating a cube using jBullet collisions

  - by Kenneth Bray

  How would one go about rotating/flipping a cube with the physics of jBullet? Here is my Draw method for my cube object: public void Draw() { // center point posX, posY, posZ float radius = .25f;//size / 2; glPushMatrix(); glBegin(GL_QUADS); //top { glColor3f(5.0f,1.0f,5.0f); // white glVertex3f(posX + radius, posY + radius, posZ - radius); glVertex3f(posX - radius, posY + radius, posZ - radius); glVertex3f(posX - radius, posY + radius, posZ + radius); glVertex3f(posX + radius, posY + radius, posZ + radius); } //bottom { glColor3f(1.0f,1.0f,0.0f); // ?? color glVertex3f(posX + radius, posY - radius, posZ + radius); glVertex3f(posX - radius, posY - radius, posZ + radius); glVertex3f(posX - radius, posY - radius, posZ - radius); glVertex3f(posX + radius, posY - radius, posZ - radius); } //right side { glColor3f(1.0f,0.0f,1.0f); // ?? color glVertex3f(posX + radius, posY + radius, posZ + radius); glVertex3f(posX + radius, posY - radius, posZ + radius); glVertex3f(posX + radius, posY - radius, posZ - radius); glVertex3f(posX + radius, posY + radius, posZ - radius); } //left side { glColor3f(0.0f,1.0f,1.0f); // ?? color glVertex3f(posX - radius, posY + radius, posZ - radius); glVertex3f(posX - radius, posY - radius, posZ - radius); glVertex3f(posX - radius, posY - radius, posZ + radius); glVertex3f(posX - radius, posY + radius, posZ + radius); } //front side { glColor3f(0.0f,0.0f,1.0f); // blue glVertex3f(posX + radius, posY + radius, posZ + radius); glVertex3f(posX - radius, posY + radius, posZ + radius); glVertex3f(posX - radius, posY - radius, posZ + radius); glVertex3f(posX + radius, posY - radius, posZ + radius); } //back side { glColor3f(0.0f,1.0f,0.0f); // green glVertex3f(posX + radius, posY - radius, posZ - radius); glVertex3f(posX - radius, posY - radius, posZ - radius); glVertex3f(posX - radius, posY + radius, posZ - radius); glVertex3f(posX + radius, posY + radius, posZ - radius); } glEnd(); glPopMatrix(); Update(); } This is my update method for the cube position: public void Update() { Transform trans = new Transform(); cubeRigidBody.getMotionState().getWorldTransform(trans); posX = trans.origin.x; posY = trans.origin.y; posZ = trans.origin.z; Quat4f outRot = new Quat4f(); trans.getRotation(outRot); rotX = outRot.x; rotY = outRot.y; rotZ = outRot.z; rotW = outRot.w; } I am assuming I need to use glrotatef, but it does not seem to work at all when I try that.. this is how I have tried to rotate the cubes: GL11.glRotatef(rotW, rotX, 0.0f, 0.0f); GL11.glRotatef(rotW, 0.0f, rotY, 0.0f); GL11.glRotatef(rotW, 0.0f, 0.0f, rotZ);

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• What is the cost of custom made 2D game sprites? [closed]

  - by Michael Harroun

  Possible Duplicate: How much to pay for artwork in an indie game? I am looking for sprites similar in style to those of Final fantasy Tactics, but with a much higher resolution that will work well for both a browser and an iPhone. In terms of animations: Walking in 4 directions Swinging with 1 hand Some sort of "casting animation" (depending on cost I may use the 1 hand swing with a wand). Taking a hit Kneeling Fallen How much would something like that cost per sprite?

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• Simple Math Multiplayer game - is Ajax sufficient?

  - by Christian Strang

  I'm planning to create a simple math multiplayer game and I plan to just use Ajax for the server/client communication but I'm not sure if this is sufficient or if I need a socket server. The game will look like this: 2-4 users all get a simple math task (like: "37 + 14") they have to solve it as fast as possible first user who solves it is the winner I will track the time for each user, since the game started, on the client side and everytime a user gives an answer, the answer and the passed time will be send to the server. Additionally I'll add a function which will check every 3 seconds if the other users finished, how much time they needed and who won. Do you think this is possible just using Ajax? What alternatives are there?

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• How do you get the total asset size (or total resource size) in an Android game?

  - by tom_mai78101

  In an Android Java project, there are two folders, asset and res. To me, I usually put some stuffs, like PNG files, sound files, etc. in either one of the two folder. When resources are increasingly becoming more and more in those folders, the time it takes to load them will increase. Therefore, a loading screen is a must in these situation. The total size is to be used in a loading screen, so that I can guess the average time it takes to load each resources, from 0 bytes to its individual resource file size. I only know that by adding all individual sizes in a respective order, I will then obtain the total asset or res folder size, simply by adding them up. So, when it comes to getting the total file size from either folder, how do you obtain their individual resource/object sizes, respectively? Thanks in advance.

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• About online game servers and how to handle data

  - by TreantBG

  So my question isn't about what technology to use or how to do this or that, but a more general question. I'm currently developing a action third person shooter. With elements of RPG - weapon,armor upgrades and items. Players will be able to create new games or join old ones. So my question is how to create the game server that players will play in. I have two ideas on my mind. The player who made the game is the server. All data passes trough him and he send this data to the server updating the database of the players with their XP points kills/deaths score and other. Or my host machine is the server, the player who made the game just will open new instance on my host and will be like client. And all players send their input data to the host, the host updates the game and send response back to client for any new changes like where is the enemy and other. And if i choose option 1 is there a chance the host to change the game content and manipulate the game results? (I think there is but i'm not sure) And if i choose option 2 isn't that raising the response time and potentially the game lag? or maybe there is another option?

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• 2D Animation Smoothness - Delta time vs. Kinematics

  - by viperld002

  I'm animating a sprite in 2D with key frames of rotation and xy-positions. I've recently had a discussion with someone saying that when the device (happens to be an iPad using cocos2D) hits a performance bump due to whatever else the user may be doing, lag will arise and that the best way to fight it is to not use actual positions, but velocities, accelerations and torques with kinematics. His message is to evaluate the positions and rotations from these speeds at the current point in time. I've never experienced a situation where I've heard of using kinematics to stem lag in 2D animations and am not sure of how effective it could be. Also, it seems to be overkill. The application is not networked so it's all running on a local device. The desired effect is that the animation always plays as closely as it can to the target frame rate. Wouldn't the technique suffer the same problems as just using the time since the last frame or a fixed time step since the kinematics would also require some time value to perform the calculation? What techniques could you suggest to best achieve the desired effect? EDIT 1 Thank you for your responses, they are very illuminating. I want to clarify my question before choosing an answer however, to make sure that this post really serves it's purpose. I have a sprite of a ball, and a text file with 3 arrays worth of information (rotation,translations x, translations y) with each unit of information existing as a key frame to be stepped through (0 to 49 and back to 0 to replay it again). I have this playing by interpolating from the current key frame to the next, every n-units of time. The animation is visibly correct when compared to a video I was given of it, and it is smooth because of the interpolations between the key frames. This is the existing state of the project. There are no physics simulated, only a static animation of a ball moving in a way an artist specifically designed. Should I, instead of rotation in degrees and translations by positions in space, derive velocities, accelerations and torques to express this static animation as a function of time? As in, position now = foo(time now), where foo uses kinematics.

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